Matched Pairs Models
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 1
Abstract
Matched pairs data can always arise from measuring a response at two variables on different level and it presented in square contingence table way, where the variables have the same category levels. This paper presents a non-convention approach for the analysis of two dimensional tables, when responses are ordered categories. Two variables are considered, and the analysis is done using data compiled from student records, college of science, King AbdulAziz University (2009/2010). The models of symmetry and marginal homogeneity are examined. To link the two models, the concepts of quasi-symmetry, ordinal quasi-symmetry are introduced. The parametric representation of the models is discussed. The expected cell values under the four models are estimated by maximum likelihood methods. A way of looking on the notion of marginal homogeneity conditional on the models of symmetry and quasi-symmetry, and on the models symmetry and ordinal quasi-symmetry being true are presented. Various relationships under models are reached. The related asymptotic distribution under marginal homogeneity is chi-square distribution.
Authors and Affiliations
Dr. Fatma Abdel-Aty, et al.
Keywords
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